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Sep 22, 2013
09/13

by
Wolfgang Kalau

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In this paper we discuss the BRST-quantization of anomalous 2d-Yang Mills (YM) theory. Since we use an oscillator basis for the YM-Fock-space the anomaly appears already for a pure YM-system and the constraints form a Kac-Moody algebra with negative central charge. We also discuss the coupling of chiral fermions and find that the BRST-cohomology for systems with chiral fermions in a sufficiently large representation of the gauge group is completely equivalent to the cohomology of the finite...

Source: http://arxiv.org/abs/hep-th/9209035v1

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Sep 22, 2013
09/13

by
W. Kalau

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We study the Hamilton formalism for Connes-Lott models, i.e., for Yang-Mills theory in non-commutative geometry. The starting point is an associative $*$-algebra $\cA$ which is of the form $\cA=C(I,\cAs)$ where $\cAs$ is itself a associative $*$-algebra. With an appropriate choice of a k-cycle over $\cA$ it is possible to identify the time-like part of the generalized differential algebra constructed out of $\cA$. We define the non-commutative analogue of integration on space-like surfaces via...

Source: http://arxiv.org/abs/hep-th/9409193v1

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11

Feb 8, 2020
02/20

by
Mukesh Kalau

Yes Archived from iTunes at https://itunes.apple.com/us/podcast/mukesh/id1447884225. Items in this collection are restricted.

Topics: podcast, itunes, apple

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Feb 9, 2020
02/20

by
Mukesh Kalau

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119
119

Sep 18, 2013
09/13

by
W. Kalau; M. Walze

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The purpose of this article is to apply the concept of the spectral triple, the starting point for the analysis of noncommutative spaces in the sense of A.~Connes, to the case where the algebra $\cA$ contains both bosonic and fermionic degrees of freedom. The operator $\cD$ of the spectral triple under consideration is the square root of the Dirac operator und thus the forms of the generalized differential algebra constructed out of the spectral triple are in a representation of the Lorentz...

Source: http://arxiv.org/abs/hep-th/9604146v1

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Sep 21, 2013
09/13

by
W. Kalau; M. Walze

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We derive an action for gravity in the framework of non-commutative geometry by using the Wodzicki residue. We prove that for a Dirac operator $D$ on an $n$ dimensional compact Riemannian manifold with $n\geq 4$, $n$ even, the Wodzicki residue Res$(D^{-n+2})$ is the integral of the second coefficient of the heat kernel expansion of $D^{2}$. We use this result to derive a gravity action for commutative geometry which is the usual Einstein Hilbert action and we also apply our results to a...

Source: http://arxiv.org/abs/gr-qc/9312031v1

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Topic: World War, 1914-1918

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Sep 21, 2013
09/13

by
W. Kalau; N. A. Papadopoulos; J. Plass; J. -M. Warzecha

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We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra. For that we derive a general formula for differential algebras based on tensor products of algebras. The result is used to characterize differential algebras which appear in models with one symmetry...

Source: http://arxiv.org/abs/hep-th/9311121v2